3 citations · 3 across the 6 of their papers we have counts for
7 papers
Obstructions to almost complex structures following Massey
Michael Albanese, Aleksandar Milivojevic
We provide proofs of two theorems stated by Massey in 1961, concerning the obstructions to finding complex structures on real vector bundles. In addition, we determine the second o…
Aspherical 4-Manifolds, Complex Structures, and Einstein Metrics
Michael Albanese, Luca F. Di Cerbo
We show that extended graph 4-manifolds with positive Euler characteristic cannot support a complex structure. This result stems from a new proof of the fact that a closed real-hyp…
Kodaira Dimension and the Yamabe Problem, II
Michael Albanese, Claude LeBrun
For compact complex surfaces (M^4, J) of Kaehler type, it was previously shown that the sign of the Yamabe invariant Y(M) only depends on the Kodaira dimension Kod (M, J). In this…
Spin^h and further generalisations of spin
Michael Albanese, Aleksandar Milivojevic
The question of which manifolds are spin or spin^c has a simple and complete answer. In this paper we address the same question for spin^h manifolds, which are less studied but hav…
The Yamabe invariants of Inoue surfaces, Kodaira surfaces, and their blowups
Michael Albanese
Shortly after the introduction of Seiberg-Witten theory, LeBrun showed that the sign of the Yamabe invariant of a compact Kähler surface is determined by its Kodaira dimension. In…
Connected sums of almost complex manifolds, products of rational homology spheres, and the twisted spin^c Dirac operator
Michael Albanese, Aleksandar Milivojevic
We record an answer to the question "In which dimensions is the connected sum of two closed almost complex manifolds necessarily an almost complex manifold?". In the process of doi…
On the minimal sum of Betti numbers of an almost complex manifold
Michael Albanese, Aleksandar Milivojevic
We show that the only rational homology spheres which can admit almost complex structures occur in dimensions two and six. Moreover, we provide infinitely many examples of six-dime…